Given \(\lambda >0\) ,
let \({\cal H}_\lambda \)  denote a homogeneous Poisson process
of intensity \(\lambda \)  in \(\mathbb {R}^2\) .
Given also \(s >0\) , set \(B(s):=[-s/2,s/2]^2\)  and let \({\cal H}_{\lambda ,s}\)  denote the restriction
of \({\cal H}_\lambda \)  to \(B(s)\) , which is
a homogeneous Poisson process of intensity \(\lambda \)  in \(B(s)\) .
We are interested in the graphs \(G({\cal H}_\lambda ,\phi )\)  and
\(G({\cal H}_{\lambda ,s},\phi )\) , which are
known as the random connection model [1]}
and soft random geometric graph [2]}
respectively, with connection function \(\phi \) .
